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Finding the Fourth Proportional to 3,098.35, 4,648.29 and 1,784.08

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Solution

The fourth proportional to 3,098.35, 4,648.29 and 1,784.08 is: 2,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.35 : 4,648.29 = 1,784.08 : x
  2. Step 2: Convert to fraction form
    3,098.35/4,648.29 = 1,784.08/x
  3. Step 3: Cross multiply
    3,098.35x = 4,648.29 × 1,784.08
  4. Step 4: Simplify right side
    3,098.35x = 8,292,921.22
  5. Step 5: Solve for x
    x = 8,292,921.22/3,098.35
  6. Step 6: Final answer
    x = 2,676.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.